Analytic solutions of two types of nonlinear uncertain differential equations

Article type: Research Article

Authors: Zhou, Chen^{a; b} | Li, Zhiming^{a; *}

Affiliations: [a] College of Mathematics and System Science, Xinjiang University, Urumqi, China | [b] School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, China

Correspondence: [*] Corresponding author. Zhiming Li, College of Mathematics and System Science, Xinjiang University, Urumqi, China. E-mail: zmli@xju.edu.cn.

Abstract: Uncertain differential equation is an essential tool in dealing with uncertain dynamic system, which is driven by canonical Liu process. This paper mainly studies two classes of nonlinear uncertain differential equations with exponential and power forms by two analytic methods. The corresponding solutions are obtained, and some examples are given to illustrate the effectiveness of these methods.

Keywords: Canonical Liu process, Uncertain calculus, Uncertain differential equation

DOI: 10.3233/JIFS-18005

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 2, pp. 2413-2420, 2018